Question

Apply the Triangle Inequality Theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2. List them in ascending oCorrect answers:
15
26
37rder.

Answer 1

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that the first two sides measure 6 and 2, we can determine the possible whole number measures of the third side by evaluating the following inequalities:

1. Third side < 6 + 2
2. Third side > |6 - 2|

Solving these inequalities, we get:
1. Third side < 8
2. Third side > 4

List of possible whole number measures of the third side:
5
6
7